Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The escape velocity on earth is 11.2 km / s what will be its value on a planet having double the radius and eight times the mass of earth



For earth escape velocity of earth is calucated by taking kinetic energy at surface equal to potential energy at infinty and as we know potential enegy at infinity for solid sphere like earth which results in ve = (2GM/R)∧1/2
Now after comparing with the planet given M'=8M ,R'=2R
therefore new v=(2GM'/R')∧1/2
v = (2G*8M/2R)∧1/2=(2GM*4/R)∧1/2 = 2(2GM/R)∧1/2 = 2ve (from above) = 11.2 *2 =22.4
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts